# Leibniz Legible — https://leibnizlegible.com
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# Title: LBr. 705 · Overbeck
# Folio 24r, page id DE-611-HS-861255:0047
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 25v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 149 lines, status machine
# Lines: 149 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Periodus Abstracta: 980+ 14 (02l2)2 O2l21222 (01) 4 (01), (12) 2011Z011201121223
Adde 08 18
O8
18
Oy
Oo
Percodus. Correita 00l4Z4 (D212)2 12222232014 1212232301120112 1223233
seu 08. 64 g. 1289. (02647) 264, 128, 128, 192, (0,64) 4(64, 128) 1128,193), (0,6464 125) iy, 12819
divisum per 64
ut addi possit Seriei ad Col: 2i invetae dimidia, unde ibi fit series per b4 divis
Addatur Portio 1. 00000000
Suma 0. 1. 4. 9. 16. 25. 36.49.
Portio 2. 64. 64. 64 64. 128. 128. 12812.
0. 17, 36. 57.
16. 41. 68.9
Suma 64 81. 100. 121. 144. 169, 196. 221
Portio 3. 0. 0. 64. 64. 0. 0. b4. 64
0. 33. 4. 41. 16. 57, 36. 81.
+. Portio 64 64 128. 128. 128. 128.192. 192
Suma 0. 33,68. 105. 16, 57. 100 145 Suma bg. 113.16421 7. 144. 201 260. 321.
Portio 5. 0. 64. 0. 64. 0. 64.
Suma 0. 65
8. 1. 4.9. 16. 25. 36.49
0. 64
9. 16, 25. 36. 49
4. 73. 16 89. 36. 113
Portio 7. 0. 64. 64. 128. 0. 64. 64. 128
0. 33. 4. 41. 16. 57 36. 81.
Suma. 0. 97, 68. 169, 16. 121. 100. 209
0. 49, 36, 09. 16, 73, 68. 120
Portio 6 64. 128. 69. 128, 128. 192. 128, 192
0. 17. 36. 57
16. 41. 68. 97.
Suma 64. 145, 100. 185: 144. 233. 196. 289
Port. 8. 64. l. 2B192 125, 9 192 296.
0. 49. 36. B9. 16. 32 68 129
Suma 6q. 177. 169. 281. 194 265, 260 385.
Scribantur jam inventae sumae in unum, binas portiones in una jungendo:
A. Portio 1. 82. 1 0. 1. 4. 9, 16, 25, 36, 49. 64, 81. 100, 121. 149. 169, 196. 225
B. Portio 3. _ 4. 0. 33. 68. 105. 16. 57, 100, 145, 64, 113. 164. 217. 199. 201. 260. 32
Portio 5. e 6 0. 65. 4. 73. 16, 89. 36. 113. 64. 145, 100. 185. 144, 233, 196. 287
D Portio 7. 8 8 0. 97. 68. 169. 16, 121. 100, 209, 64. 177. 164. 281. 144. 265 260. 38
Et subtractis vadratis primae Lineae est A. 0. 0. 0. 0. 0, 0. b, v, 0. 0. 0. 0, 0. 0. 0
. 0. 0
6. Pr. 64. 95.
B. 0. 32. 64. 9b, 0. 32. 64. 96. 0. 32. 64, 96. 0. 32. 64.96
C. 0. 64. 0. 64. 0. 64 0, 64. 0. 64. 0. 64. 0, 64. 0. 64
D. 8. 96. 64. 160, 0. 96. 64. 160, 0. 96. 64. 160. 8. 96, 64. 160
95. 6+. 160. quater repositus
et dividendo eu peu 32. fit
Pro Col. 11
qui est ipse Abacus quem signavimus 8. ad
calculum Col: 21
qui proinde Abueus hic est quater repositus.
Notae fiut 2 in una portione seu Notae 16
At Portiones 23 = 8.
B. Port. 2. (04 l4) 2 (04, 1284. 126)
(0212) 4. = (02 1287). 128
(02121221)2 et su in aliius
2 1. 1. 1. 1.
4. 2.
Ad ditio Portionum mebris per 128. multo
plicatis ut addi possint dimidia praecedentium
0.0. 0. 0. 0. 0. 0. 8. 0. v. 0. 0. 0
0. 1. 4. 9, 16. 25. 36. 49. 64. 81. 100. 121. 144. 1(9, 196 22)
2, 0. 0. 0. 0. 128, 128.128. 128. 0. 0. 0. 0. 128, 128, 128. 12
3. 33. 69195. 16. 57. 100. 145. 64. 113. 164. 217, 144. 201. 260, 32
1. 2. 3. 4. 5. 6. 7. 5) Suma o. 33. 68.105. 144. 185. 328. 27 3. 64. 113, 164. 217. 272, 329, 368. 449
sumae Portionum scorsim scriptae
C. 0. 0. 128, 128, 0,0, 128, 128, 0,0, 128, 128, 0,0, 128, 128
0. 65. 4. 73. 16. 89, 36, 113. 64. 145, 100. 115, 144.233196. 249
Suma. v. 65. 132. 201. 16. 89. 164. 241. 64. 145, 228, 313 144233. 324. 417
D. 9. 0. 128. 128. 128,128. 256.256.0. 0. 128. 128. 128. 128. 256. 256.
0.97. 6B169, 16, 121. 100. 209. 64. 177.169, 281. 144. 265, 260. 385
uma 6. 9y. 196297. 149. 249, 356465. 64. 177. 292. 409. 272. 393. 516. 641
E. 0. 128. 0. 128. 0. 128, 0. 128, 9. 128, 0. 128. 0. 128, 0. 128
9. 16. 25. 36 49. 64. 64. 10 144. 199169, 196. 225
Luma 0. 129, 4. 137 16. 153.36. 177.64. 209. 100. 249. 144. 397,196. 353
f. 0. 128, 0. 125, 128, 256. 128. 256, 9. 128. 9. 128, 128. 256, 128. 256
0. 33, 68, 105, 16. 57, 100. 145, 64 113,169217. 144. 201. 260. 321
una 016168233, 144. 313, 228, 40 1.64. 241 164, 345. 272. 457. 388.577
G. 0, 128, 128, 25b, 0, 128, 128256, 0, 128, 129, 2560 128, 12825
0. 65. 4. 73. 16, 89, 36, 113, 64, 195, 100, 1817149 23319620
Juna 0, 193, 132, 329 16, 217, 164, 36964, 273, 226, 441, 144 361 224, 54
S1. 8. 1. 3. 1c6. 25b, 128, 256, 256394, 0, 128, 128, 256, 128, 256, 256, 384
V. 97. 68. 169, 16, 121, 100, 209,64, 177, 164, 281, 144, 265, 260, 28-
Tuma v, 25, 1963425, 149, 377, 356, 593 64, 305, 292, 537, 272, 521, 516, 769
Pro Col: 30
Catal. Notarum
0. 2. 3. 3, 4. 4. 4.
Portio 1. O
Portio 2. 0+. 14
Port. 3. (0212)2
Port. 4. 02121222
Port. 5. (O1) q
Port. 6 (01) 2 (12)2
Port. 7. (0112)2
Port. B 0121223
Catal. Portionu
8. 1. 2. 2. 4. 4. 4
evotientes
1. 2. 3. 4. 5. 6.
e siti ta peire er
Id est Abacus
Catal. Notaru
0. 1. 2. 7, 4. 4. 4
A. Portio 1. est 016
Fort: 3.
D. Port: 4
E. Portio 5. (01)8
G. Portio 7. (∞112
A. Partio 8. (b1121223)2
F Portio 6. (01 = (12) (01), (12)2
Catal. Portionum
0. 1. 2. 2. 4. 4
18 septoitu
128192
Quotientes
A. 9. 1. 4. 9. 10, 25, 36, 49, 64, 81. 100, 121, 144, 16919622;,
B. 0. 33. 68, 105, 144, 185, 228, 273, 64, 113, 164, 217, 272, 329, 385949
C. 0, 65, 132, 201, 16, 89, 164, 241, 64, 145, 228, 313, 144, 233, 32
P. 0,97. 196 297, 149, 249, 356, 465, 69, 177, 292, 409, 272, 393,516, 64
E,0, 129, 4, 137, 16, 153, 36, 177,69, 209, 100, 249, 144, 297,196 352
7, 0, 161, 68, 233, 144, 313, 228, 401, 64, 241, 164, 345, 272, 457, 388 596,
G. 0, 193, 132, 329, 16, 217, 104, 369, 64, 273, 228, 44), 144, 361, 224595
H. 6, 225, 196, 425, 144, 377, 356, 593, 64, 305, 292, 537, 272, 521,516, 769
Et subductis evadratis Lineae A
.
3. 0, 32. 64.96, 128, 160192, 224
erit
C, 0. 64. 128192. 0. 69. 128. 192. Et divisis mebris P32.
D. 0. 96, 194288, 128. 24. 320. 416.
C,0. 128, 0. 128. 0. 128,0, 128.
F. 0. 160, 64, 224. 12B 286. 192. 3,2
1. 0. 0
2. 4
10, 13
.4. 0. g. Hic Abacus vocetur Occultus, quia labet in omnibus in
9. 6. 11.
0. 2. 4. b
3. 6
5. 2
0. 6. 4. 10
valoribus Membroru ad dictam Methodu quaegitorum
7. 6. 13. 4. 11, 10. 17. et, si Abacus alip via brevius eruis possit extra setienu
abacus bis reponendus ejus membris hoc loco per 32) multiplicatis titum quod investigo obtinuo
fit 0. 0. 0. 0.
. 0. 192, 128. 320. 1. 152. 125, 320
0. 6. 4. 10.